Chapter 4: Q59. (page 188)

Find the product, if possible.
$[\begin{matrix} 5 & 2 \end{matrix}] \cdot [\begin{matrix} - 2 \\ 3 \end{matrix}]$

Short Answer

Expert verified

The product is $[- 4]$ .

Step by step solution

Step 1- Apply the concept of multiplication of matrix.

Matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

Step 2- Step description.

Consider the matrix $[\begin{matrix} 5 & 2 \end{matrix}] \cdot [\begin{matrix} - 2 \\ 3 \end{matrix}]$ .

Multiply the matrix as follows:

$\begin{array}{l} = [5 (- 2) + 2 (3)] \\ = [- 10 + 6] \\ = [- 4] \end{array}$

Step 3- Step description.

Therefore, the product of the matrix is $[- 4]$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the product, if possible.
$[\begin{matrix} 5 & 2 \end{matrix}] \cdot [\begin{matrix} - 2 \\ 3 \end{matrix}]$

Short Answer

Step by step solution

Step 1- Apply the concept of multiplication of matrix.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Discrete Mathematics

Pure Maths

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Find the product, if possible.52·-23

Short Answer

Step by step solution

Step 1- Apply the concept of multiplication of matrix.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Discrete Mathematics

Pure Maths

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Find the product, if possible.
$[\begin{matrix} 5 & 2 \end{matrix}] \cdot [\begin{matrix} - 2 \\ 3 \end{matrix}]$